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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за автором "Nakanishi, T."

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за автором "Nakanishi, T."

Сортувати за: Порядок: Результатів:

  • Classical and Quantum Dilogarithm Identities 
    Kashaev, R.M.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and ...
  • Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems 
    Nakanishi, T.; Tateo, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study the family of Y-systems and T-systems associated with the sine-Gordon models and the reduced sine-Gordon models for the parameter of continued fractions with two terms. We formulate these systems by cluster algebras, ...
  • Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras 
    Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, ...
  • Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras 
    Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, ...
  • Paths and Tableaux Descriptions of Jacobi-Trudi Determinant Associated with Quantum Affine Algebra of Type Cn 
    Nakai, W.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type Cn. Like the Dn case ...
  • T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras 
    Kuniba, A.; Nakanishi, T.; Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum ...

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